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Applications of Random Matrix Theory to many-body physics: September 16 – 20, 2019.

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Organized by Boris Altshuler, Anatoly Dymarsky, Lea Santos, Jacobus Verbaarschot.

One of the most fundamental questions of quantum dynamics is how a many-body quantum system approaches equilibrium. At the classical level, equilibration of many-body systems is well understood, with all relevant timescales being mapped out microscopically. Similarly the relation between equilibration of classical many-body systems and chaos encoded by the Lyapunov exponents is also firmly established. Extending this picture to the quantum level is currently a very active topic of research.

The central problem at the quantum level is to determine the relevant timescales governing equilibration dynamics and to identify physical quantities, which may exhibit various degrees of universal behavior. A closely related question, which will be the focal point of the workshop, is the role of Random Matrix Theory in describing emergent universality. The related issues include various ways to define Thouless time for interacting quantum many-body systems and the connection between spectral statistics of quantum systems and dynamical manifestations of chaos, to name just a few. This workshop will gather researchers from condensed matter physics, high energy physics and quantum information science, to outline new promising directions in the field of nonequilibrium many-body quantum dynamics. This workshop is associated with the program: Universality and ergodicity in quantum many-body systems: August 26-October 18, 2019

Talk Schedule


Time Title Speaker Location
9:00am Transport in SYK nanostructures and arrays Alex Kamenev SCGP 102
10:00am Coffee/Tea N/A SCGP Café
10:30am   Xiangyu Cao SCGP 102
11:30am Dynamical Glass: Ergodization Dynamics in Weakly Non-Integrable Many-Body Systems Sergei Flach SCGP 102
12:30pm Lunch N/A SCGP Café
2:00pm Many-Body Quantum Chaos: Chains of Kicked, Interacting Spins Thomas Guhr SCGP 102
3:00pm Coffee/Tea N/A SCGP Café
3:30pm Probing spectral statistics through the power spectrum Eugene Kanzieper SCGP 102
4:30pm Universal Signature from Integrability to Chaos in Open Quantum Systems Gernot Akemann SCGP 102

Time Title Speaker Location
9:00am Dynamics of Tensor and SYK Models Igor Klebanov SCGP 102
10:00am Coffee/Tea N/A SCGP Café
10:30am A duality between SYK and 2+1 de Sitter gravity Herman Verlinde SCGP 102
11:30am Infinite temperature adiabatic flows in ergodic systems Anatoli Polkovnikov SCGP 102
12:30am Lunch N/A SCGP Café
2:00pm Time Scales and Manifestations of Chaos in Many-Body Quantum Dynamics Lea Santos N/A
3:00pm Coffee/Tea N/A SCGP Café
3:30pm Typical relaxation of perturbed many-body quantum systems Peter Reimann SCGP 102
4:30pm Entanglement entropy of highly excited eigenstates of many-body lattice
Hamiltonians
Marcos Rigol SCGP 102

Time Title Speaker Location
9:00am Spectral correlations and the Thouless time in spatially extended Floquet quantum circuits John Chalker SCGP 102
10:00am Coffee/Tea N/A SCGP Café
10:30am Measurement-induced purification/entanglement phase transitions David Huse SCGP 102
11:30am Multifractality and its role in anomalous transport in the disordered XXZ
spin-chain
Yevgeny Bar Lev SCGP 102
12:30pm Lunch N/A SCGP Café
2:00pm Low-dimensional de Sitter quantum gravity and random matrix theory Jordan Cotler SCGP 102
3:00pm Coffee/Tea N/A SCGP Café
3:30pm Black holes, entropy and entanglement islands Juan Maldacena SCGP 102
4:30pm Sparse Sachdev-Ye-Kitaev model Brian Swingle SCGP 102

Time Title Speaker Location
9:00am Planckian Metals Subir Sachdev SCGP 102
10:00am Coffee/Tea N/A SCGP Café
10:30am Soft modes in the complex SYK model Grigory Tarnopolsky SCGP 102
11:30am Chaotic properties of spin lattices at high temperatures Boris Fine SCGP 102
12:30pm Lunch N/A SCGP Café
2:00pm Universality in ultra-small metallic grains Yoram Alhassid SCGP 102
3:00pm Coffee/Tea N/A SCGP Café
3:30pm Application of RMT to Scattering Experiments with Microwave Billiards and Nuclear Data Barbara Dietz SCGP 102
4:30pm Classical and Quantum dynamics in atom-photon systems Jorge Hirsch SCGP 102

Time Title Speaker Location
9:00am From short-time to late-time dynamics: many-particle interference in interacting bosonic systems Klaus Richter SCGP 102
10:00am Coffee/Tea N/A SCGP Café
10:30am Post-Ehrenfest many-body quantum interferences in ultracold atoms: complex saddle trajectories Steven Tomsovic SCGP 102
11:30am A General Mechanism of Broadening for Degenerate Eigenvalues Mario Kieburg SCGP 102
12:30pm Lunch N/A SCGP Café